It's probably a metric thread and you can probably buy a moderator to fit the threads you have. But you don't really need a moderator. Another guy who just got one says it has baffles and I presume they are thin aluminum pieces like my P35 has. It should be 90+ db as is and you can drop it into the low to mid 80s with a couple hair curlers and some plastic felt. I got the curlers from the dollar store, about $1.25, and the felt from hobby lobby - 33 cents a piece. I is enough but I'd get two at that price. But a baffle up against the bright aluminum piece in the shroud with half a curler wrapped in felt inside, then a full curler with a baffle on it, then a third baffle up against the end cap. The last baffle may have an O-ring. If it does, it's best to either remove the O-ring or put it back against the end cap. Otherwise it can get into the pellet path.
My P35 22 really likes H&N Baracuda Match pellets 21 grain either head size, but also likes JSB 18 grain and shot the one slug I tried, H&N Slug HP in 25 grain, almost as well as the Baracuda Match pellets. I did not try heavier JSB 25.4s but if your Stoeger is set up really hot, as another reports for his 177, you might want some of them too.
You can easily reduce the trigger weight and make it more crisp if you remove the stock. Should be two allen head, 3mm, bolts on the bottom. The first stage weight is controlled by a spring that looks like a ball point pen spring on the rod that runs from the trigger to the action. If you loosen the collar on the end towards the action you can relax the spring reducing the trigger weight. It is the first stage spring but the first stage adds to the second stage weight. There is no downside or risk to this. To further reduce the weight and to make it more crisp, you want to turn the sear adjustment screw in after loosening the lock nut. This adjustment is much more risky and should only be done if you are confident you know what you are doing.